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41125000848 = 2437346325349
BaseRepresentation
bin100110010011001111…
…011011011010010000
310221011001221111112120
4212103033123122100
51133211000011343
630520443254240
72654054511441
oct462317333220
9127131844476
1041125000848
1116493a99908
127b7881a380
133b55177939
141dc1b772c8
15110a65a683
hex9933db690

41125000848 has 80 divisors (see below), whose sum is σ = 107931782400. Its totient is φ = 13490813952.

The previous prime is 41125000843. The next prime is 41125000871. The reversal of 41125000848 is 84800052114.

41125000848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2027932-1.

It is not an unprimeable number, because it can be changed into a prime (41125000843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609678 + ... + 1635026.

It is an arithmetic number, because the mean of its divisors is an integer number (1349147280).

Almost surely, 241125000848 is an apocalyptic number.

41125000848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41125000848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53965891200).

41125000848 is an abundant number, since it is smaller than the sum of its proper divisors (66806781552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41125000848 is a wasteful number, since it uses less digits than its factorization.

41125000848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25896 (or 25890 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 41125000848 in words is "forty-one billion, one hundred twenty-five million, eight hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 463 584 876 926 1168 1389 1752 1852 2778 3504 3704 5556 7408 11112 22224 25349 33799 50698 67598 76047 101396 101397 135196 152094 202792 202794 270392 304188 405584 405588 540784 608376 811176 1216752 1622352 1850477 3700954 5551431 7401908 11102862 11736587 14803816 22205724 23473174 29607632 35209761 44411448 46946348 70419522 88822896 93892696 140839044 187785392 281678088 563356176 856770851 1713541702 2570312553 3427083404 5140625106 6854166808 10281250212 13708333616 20562500424 41125000848